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55434401440 = 2551131496819
BaseRepresentation
bin110011101000001001…
…011101011010100000
312022002022121100221021
4303220021131122200
51402012201321230
641244411335224
74001500431505
oct635011353240
9168068540837
1055434401440
1121567302310
12a8b0a51514
1352c58c6392
14297c38d4ac
151696a07c7a
hexce825d6a0

55434401440 has 48 divisors (see below), whose sum is σ = 142869575520. Its totient is φ = 20157963520.

The previous prime is 55434401401. The next prime is 55434401447. The reversal of 55434401440 is 4410443455.

It is a super-2 number, since 2×554344014402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55434401396 and 55434401405.

It is not an unprimeable number, because it can be changed into a prime (55434401447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15746650 + ... + 15750169.

It is an arithmetic number, because the mean of its divisors is an integer number (2976449490).

Almost surely, 255434401440 is an apocalyptic number.

It is an amenable number.

55434401440 is an abundant number, since it is smaller than the sum of its proper divisors (87435174080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55434401440 is a wasteful number, since it uses less digits than its factorization.

55434401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31496845 (or 31496837 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

Adding to 55434401440 its reverse (4410443455), we get a palindrome (59844844895).

The spelling of 55434401440 in words is "fifty-five billion, four hundred thirty-four million, four hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 31496819 62993638 125987276 157484095 251974552 314968190 346465009 503949104 629936380 692930018 1007898208 1259872760 1385860036 1732325045 2519745520 2771720072 3464650090 5039491040 5543440144 6929300180 11086880288 13858600360 27717200720 55434401440